{"label":"723.2.a.e","letter":"e","dim":9,"charpoly":["-896208129239","363769872095","64041758946","-17275386675","1190886332","-30971018","59132","11571","-197","1"],"traces":["9","3","-9","7","12","-3","-5","6","9","5","3","-7","18","0","-12","-1","16","3","3","17","5","8","9","-6","15","14","-9","-3","15","-5","-13","10","-3","1","1","7","19","12","-18","24","18","0","-11","14","12","1","19","1","14","21","-16","10","31","-3","-1","1","-3","12","11","-17","2","11","-5","-34","33","-8","-12","24","-9","-42","6","6","18","8","-15","1","20","-14","-32","7","9","-27","13","3","12","-2","-15","-25","24","5","-34","-7","13","-21","14","-10","23","8","3","0","6","-1","2","8","-1","-53","-1","-7","-31","-10","-19","-7","19","-12","-25","-16","18","-24","-25","-24","-2","-32","-18","-55","21","0","-27","-33","11","5","-7","-14","-13","-35","-12","-26","16","-1","-22","-57","-19","-33","5","-1","0","-55","-14","-9","21","-21","-24","4","16","-56","-37","-10","43","-66","-31","-7","-9","3","-24","-31","1","4","28","-1","-27","-4","3","-27","30","-12","-21","-64","-11","-16","15","17","6","-42","-2","29","26","-11","12","-24","5","2","3","34","25","7","-33","-9","52","8","-39","-12","12","56","25","-24","35","-17","9","17","32","42","-25","46","-6","-30","17","-6","42","-79","-18","58","43","-8","32","-12","15","-25","56","-1","17","-2","-20","19","-7","14","-6","16","32","31","2","-7","9","46","-9","-47","65","27","49","-73","-13","69","56","-3","-24","9","-12","-27","40","2","-41","70","15","66","27","25","58","-59","-24","-1","43","-5","-90","-9","34","17","59","7","26","23","-13","-49","32","21","33","-35","-14","30","87","10","-31","-63","-23","56","72","-8","-4","15","-3","-50","-12","0","-23","20","-6","-17","-69","1","5","-103","-2","-22","-15","-8","-11","57","1","-50","81","53","-40","-61","1","64","-29","7","50","-105","31","-19","-8","10","39","-29","19","20","-22","7","11","-36","-19","77","-36","12","-94","-11","25","76","-28","16","13","-177","-18","-28","-1","24","72","-123","25","-4","7","24","-96","80","2","38","-42","32","26","-17","18","129","4","55","78","-28","-21","-28","62","0","-75","21","27","62","-41","33","-1","-26","-11","73","2","-5","-72","84","7","73","-7","14","-11","-63","13","20","66","35","-35","77","12","32","39","26","51","-124","-16","148","-43","1","-70","-20","22","85","40","57","17","58","19","22","53","33","13","-137","-5","46","-36","1","45","138","0","21","24","55","-21","20","14","-24","-16","9","-42","62","-21","117","-12","21","-21","-23","24","130","-102","-4","99","-45","-16","-89","-1","56","-2","80","37","-57","-11","10","-60","-116","-43","109","-96","66","9","38","31","90","-42","7","-46","3","9","-17","5","-3","-37","-48","24","136","14","31","28","26","-1","16","-139","-4","-63","52","-28","101","-43","1","-50","89","27","-56","10","4","-69","-84","-3","66","-4","27","79","-111","-30","64","-73","12","6","89","21","9","15","64","-32","-96","11","-23","18","16","-16","-55","-15","-10","-89","-17","-64","64","-6","150","-102","42","0","52","2","32","-1","-29","5","-93","-26","-13","-63","11","-10","-22","-12","142","-33","24","48","6","-5","-13","-51","-2","-43","143","-3","134","-132","-34","17","-133","-25","-1","-53","-7","-29","-38","33","37","70","9","-32","1","-52","-12","-34","-8","6","-9","39","95","-26","12","17","67","-12","-11","-37","-56","-73","-116","-25","-59","76","24","-37","104","-35","-51","-68","17","-29","-214","-9","6","29","-17","-3","17","-32","-16","-30","-42","-167","-12","25","142","-70","-46","74","-98","6","-60","-92","30","-1","20","-17","-5","20","6","-100","32","-42","8","4","79","-21","-43","18","-97","-9","-58","37","-110","-43","-21","-116","8","4","-40","-32","-45","-68","12","-40","132","-15","-61","-91","25","-13","-43","-56","-4","-54","1","-28","-145","-17","45","44","2","13","3","20","-162","2","-19","-4","32","7","-210","-132","-14","-40","-5","6","58","-65","-16","-17","71","-32","18","1","-31","-17","22","-2","-31","-7","7","-93","17","-9","187","-23","-46","8","-65","9","-158","-7","47","56","27","-65","-97","-56","-27","-19","61","-49","133","81","73","67","-29","13","4","17","-69","-133","-42","-56","-66","-39","3","51","12","24","51","-6","-9","118","23","12","-120","-10","27","74","-166","-40","-44","67","-2","-72","132","41","-57","10","-70","-70","76","-15","72","38","-66","48","-28","-27","-161","40","-25","-87","-1","-58","-51","95","59","25","23","24","-11","80","1","25","-34","-43","27","-66","5","-78","219","90","122","-8","9","-19","-115","-34","-223","122","-17","-53","38","-59","-48","-1","-7","46","67","-26","-130","-94","-23","90","161","13","-236","89","49","-76","31","-32","40","-6","-21","-92","-96","-33","31","61","35","163","159","14","-238","-72","-30","124","-129","-87","-106","125","-10","-148","-4","31","178","15","63","13","-64","23","81","-98","-56","-25","-29","-72","-73","19","8","68","42","4","68","136","-15","-54","-118","3","14","55","50","-92","80","12","-22","23","0","67","-39","23","-43","128","-20","92","131","6","-141","47","17","47","223","69","125","-72","-1","-54","80","-5","13","74","103","189","32","2","17","-4","22","75","25","15","-34","11","8","-58","108","11","76","5","-57","78","114","-1","-30","71","50","75","11","-81","-47","166","-53","41","-30","40","35","72","61","-2","185","-1","7","83","-64","-73","8","29","85","39","-7","151","2","-50","32","65","105","-157","61","-31","36","184","19","99","55","8","45","-5","-10","-201","36","-39","-130","-10","29","193","-38","-19","-69"],"lmfdb":"agrees","space":"723.2.a","level":723,"weight":2,"T":[[2,1],[5,3],[7,5],[11,7],[13,9]],"status":"proven","derived":{"al":[[3,1],[241,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/723.2.a.e"}